Final answer:
To graph the equation 2x+5y=10, rewrite it in slope-intercept form y=mx+b and plot the points using the slope and y-intercept.
Step-by-step explanation:
To graph the equation 2x+5y=10, we can first rewrite it in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. In this case, we have 5y=-2x+10, so we divide both sides by 5 to get y=-2/5x+2. Now we can plot the y-intercept, which is the point (0,2). From this point, use the slope -2/5 to find other points. For example, if we move 5 units to the right and 2 units down, we get the point (5,0). Connect the points and you have the graph of the equation.